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2084384 = 25531229
BaseRepresentation
bin111111100111000100000
310220220020102
413330320200
51013200014
6112401532
723500631
oct7747040
93826212
102084384
1111a4035
128462a8
1357c983
143c3888
152b28de
hex1fce20

2084384 has 24 divisors (see below), whose sum is σ = 4184460. Its totient is φ = 1021696.

The previous prime is 2084359. The next prime is 2084389. The reversal of 2084384 is 4834802.

It can be written as a sum of positive squares in 2 ways, for example, as 1690000 + 394384 = 1300^2 + 628^2 .

It is not an unprimeable number, because it can be changed into a prime (2084389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1082 + ... + 2310.

22084384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092230).

2084384 is an abundant number, since it is smaller than the sum of its proper divisors (2100076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2084384 is a wasteful number, since it uses less digits than its factorization.

2084384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2084384 is about 1443.7395887070. The cubic root of 2084384 is about 127.7397054114.

The spelling of 2084384 in words is "two million, eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1229 1696 2458 4916 9832 19664 39328 65137 130274 260548 521096 1042192 2084384